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gr-qc2025
Geometric Modeling of a Line of Alternating Disclinations: Application to Grain Boundaries in Graphene
A. M. de M. Carvalho, C. Furtado
We develop a conformal geometric model for grain boundaries in graphene based on a periodic line of alternating disclinations. Within the framework of (2+1)-dimensional gravity, we…
gr-qc2025
Geometric and Topological Aspects of Quadrupoles of Disclinations: Conformal Metrics and Self-Forces
A. M. de M. Carvalho, G. Q. Garcia, C. Furtado
We study the geometric and physical effects of quadrupolar configurations of disclinations using a conformal metric approach in dimensions. Two cases are considered: a line…